A231193 Number of (n+1)X(2+1) 0..2 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..2 introduced in row major order

67, 1413, 31665, 704428, 15698874, 349736292, 7791727354, 173590087438, 3867375772894, 86160416104014, 1919549013278026, 42765211455425302, 952756766481301782, 21226259035646084422, 472895169574435473198

Offset

1,1

Comments

Column 2 of A231199

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 22*a(n-1) +7*a(n-2) -24*a(n-3) +218*a(n-4) -1474*a(n-5) -4420*a(n-6) +892*a(n-7) +1572*a(n-8) +5428*a(n-9) +124572*a(n-10) +179816*a(n-11) -55176*a(n-12) -492608*a(n-13) -667584*a(n-14) -56192*a(n-15) +368640*a(n-16) +246784*a(n-17) -61440*a(n-18)

Example

Some solutions for n=3
..0..1..2....0..1..1....0..0..1....0..1..0....0..1..2....0..0..0....0..1..1
..2..1..1....1..0..2....1..2..1....0..0..1....1..0..1....1..1..1....0..0..0
..0..1..2....1..1..0....0..2..2....2..2..2....2..1..1....1..0..2....1..2..2
..1..0..0....0..0..2....1..0..1....0..0..0....2..0..0....2..1..0....1..0..1

Crossrefs

Sequence in context: A032651 A322880 A157665 * A078850 A092795 A017783

Adjacent sequences: A231190 A231191 A231192 * A231194 A231195 A231196

Keyword

nonn

Author

R. H. Hardin, Nov 05 2013

Status

approved